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Mathematics 8 Online
OpenStudy (anonymous):

(8sqrt2-8)^2

OpenStudy (anonymous):

Like this? \[(8\sqrt{2}-8)^{2}\]

OpenStudy (anonymous):

Sometimes it helps to use the formula for square binomials: \[(a-b)^2=a^2-2ab+b^2\] Use \[a=8\sqrt{2}\] and b = 8 into the formula above and combine what you can.

OpenStudy (anonymous):

I am confused... I tried to work this problem out (8sqrt2-8) (8sqrt2-8)= 66sqrt2-64sqrt2- 64sqrt2+64

OpenStudy (anonymous):

ok do you understand the formula above? \[(a-b)^2=a^2-2ab+b^2\]

OpenStudy (anonymous):

yes

OpenStudy (anonymous):

ok can you find a^2?

OpenStudy (anonymous):

64sqrt4

OpenStudy (anonymous):

yes but what is sqrt 4?

OpenStudy (anonymous):

is it 128sqrt2?

OpenStudy (anonymous):

you're making it harder than it is. The square of a square root is just what's underneath. \[(\sqrt{2})^2=2\]

OpenStudy (anonymous):

its just 128. when you square a square root there will not be a root sign anymore. Square is the inverse of squareroot

OpenStudy (anonymous):

I always make it more difficult than it needs to be. ughh

OpenStudy (anonymous):

Does that make sense? So we have a^2 = 128 and b^2 = 64 now we need to find 2ab (the hard part to understand but not to compute)

OpenStudy (anonymous):

its not your fault, people understand math in different ways

OpenStudy (anonymous):

Do you see why \[(8\sqrt{2})^2=(64)(2)\]

OpenStudy (anonymous):

I got it now. I just needed to be walked through it. Thank you.

OpenStudy (anonymous):

ok so what is the final answer you get?

OpenStudy (anonymous):

192 -128sqrt2

OpenStudy (anonymous):

omg yes it is sorry, good job lol

OpenStudy (anonymous):

thanks ;)

OpenStudy (anonymous):

sorry brain farted for a second ;)

OpenStudy (anonymous):

Those are tricky but squaring square roots will help you when you start dividing these nasty things :) good luck to you

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